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Finding the Fourth Proportional to 480,857.36, 721,351.66 and 200,309

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Solution

The fourth proportional to 480,857.36, 721,351.66 and 200,309 is: 300,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,857.36 : 721,351.66 = 200,309 : x
  2. Step 2: Convert to fraction form
    480,857.36/721,351.66 = 200,309/x
  3. Step 3: Cross multiply
    480,857.36x = 721,351.66 × 200,309
  4. Step 4: Simplify right side
    480,857.36x = 144,493,229,662.94
  5. Step 5: Solve for x
    x = 144,493,229,662.94/480,857.36
  6. Step 6: Final answer
    x = 300,490.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.